Forwarded from Math World (Azizakhon Turakhujaeva)
a/sin65=b/sin(65-x)
a/sin(50+x)=b/sin50
sin(65-x)/sin65=sin50/sin(50+x)
x=15
a/sin(50+x)=b/sin50
sin(65-x)/sin65=sin50/sin(50+x)
x=15
Forwarded from Yogesh
15-h/r=15/6
15-h/r=5/2
30-2h=5r
H=30-5r/2
Csa of cylindr 2pie*r(30-5r/2)
pie(30r-5r^2)
Diffferniciation
30-10r=0
R=3
Pie(90-45)=45Ο
15-h/r=5/2
30-2h=5r
H=30-5r/2
Csa of cylindr 2pie*r(30-5r/2)
pie(30r-5r^2)
Diffferniciation
30-10r=0
R=3
Pie(90-45)=45Ο
Forwarded from Yogesh
4--6
5----15/2
3----9/2
6-4.5=1.5
4.5:1.5
3:1
5----15/2
3----9/2
6-4.5=1.5
4.5:1.5
3:1
Forwarded from C
(1 - x)(1 - y)(1 - z)/xyz
[(xy + yz + zx)/xyz] - 1
[1/x + 1/y + 1/z] - 1
AM >= HM
(x + y + z)/3 >= 3/(1/x + 1/y + 1/z)
(1/x + 1/y + 1/z) >= 9
min value of (1/x + 1/y + 1/z) = 9
9 - 1
8
[(xy + yz + zx)/xyz] - 1
[1/x + 1/y + 1/z] - 1
AM >= HM
(x + y + z)/3 >= 3/(1/x + 1/y + 1/z)
(1/x + 1/y + 1/z) >= 9
min value of (1/x + 1/y + 1/z) = 9
9 - 1
8
Forwarded from Deleted Account
Find sum of numbers which are coprime to 840 and are less than it
Forwarded from Z Advance Math
840 = 2Β³ * 3 * 5 * 7
Euler Totient of 840 = 840 * 1/2 * 2/3 * 4/5 * 6/7
= 192
Sum of nos which are coprime to 840 and less than it = Totient * number / 2
= 192 * 840 / 2
= 80640
Euler Totient of 840 = 840 * 1/2 * 2/3 * 4/5 * 6/7
= 192
Sum of nos which are coprime to 840 and less than it = Totient * number / 2
= 192 * 840 / 2
= 80640